Question

A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What is the volume of the sand in the box?

Answer 1

the volume of sand is
`50 ft^(3)`

Explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

`Length l= 4 ft Width w= 5ft\\Height h = 3ft`

if the sandbox is filled with sand of
`2(1)/(2 ) ft` deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have
`2(1)/(2) = (5)/(2)`

the expression for the volume of a rectangular prism is

`volume of sand = length * width* height`

substituting our data into the expression we have

`volume of sand= 5*4 * (5)/(2) \\volume of sand = (100)/(2) \\volume of sand = 50 ft^(3)`